High-stochastic solitons for the eighth-order NLSE through Itô calculus and STD with higher polynomial nonlinearity and multiplicative white noise

AlQahtani, Salman A.; Shohib, Reham M. A.; Alngar, Mohamed E. M.; Alawwad, Abdulaziz M.

doi:10.1007/s11082-023-05478-1

Cited by 14 publications

(1 citation statement)

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“…Solitons (or, more generally, solitary waves) are formed when the nonlinearity of the medium is counterbalanced by its dispersion. The characteristics of solitons have been investigated in various optical media, including Kerr nonlinear media, media with second-order nonlinearity, and photonic crystals [14][15][16][17][18][19][20]. In the case of FBGs, a balance between Kerr nonlinearity and the dispersion induced by FBGs at high intensity results in the formation of Bragg grating (BG) solitons [10,21,22].…”

Section: Introductionmentioning

confidence: 99%

Moving Bragg Solitons in a Dual-Core System Composed of a Linear Bragg Grating with Dispersive Reflectivity and a Uniform Nonlinear Core

Ahmed,

Atai

2024

Photonics

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The existence and stability of moving Bragg grating solitons are systematically investigated in a dual-core system, where one core is uniform and has Kerr nonlinearity, and the other is linear with Bragg grating and dispersive reflectivity. It is found that moving soliton solutions exist throughout the upper and lower bandgaps, whereas no soliton solutions exist in the central bandgap. Similar to the quiescent solitons in the system, it is found that when dispersive reflectivity is nonzero, for certain values of parameters, sidelobes appear in the solitons’ profiles. The stability of the moving solitons is characterized using systematic numerical stability analysis. Additionally, the impact and interplay of dispersive reflectivity, soliton velocity, and group velocity on the stability border are analyzed.

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